Finding the Third Proportional to 8,210 and 12,819

Step by Step Solution

1. Step 1: Write the proportion equation
   8,210 : 12,819 = 12,819 : x
2. Step 2: Convert to fraction form
   8,210/12,819 = 12,819/x
3. Step 3: Cross multiply
   8,210x = 12,819 × 12,819
4. Step 4: Simplify right side
   8,210x = 164,326,761
5. Step 5: Solve for x
   x = 164,326,761/8,210
6. Step 6: Final answer
   x = 20,015.44